#include "longesttrip.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
mt19937 rng(42);
vector<int> perm;
bool my_are_connected(vector<int> v1, vector<int> v2) {
for (auto &i : v1) {
i = perm[i];
}
for (auto &i : v2) {
i = perm[i];
}
return are_connected(v1, v2);
}
vector<int> longest_trip(int N, int D) {
vector<int> ret;
perm.resize(N);
iota(perm.begin(), perm.end(), 0);
shuffle(perm.begin(), perm.end(), rng);
if (D == 3) {
ret.resize(N);
iota(ret.begin(), ret.end(), 0);
} else if (D == 2) {
deque<int> dq;
int st = -1;
dq.pb(0);
if (my_are_connected({0}, {1})) {
dq.pb(1);
st = 2;
} else {
dq.pb(2);
dq.pb(1);
st = 3;
}
for (int i = st; i < N; i++) {
if (my_are_connected({i}, {dq.back()})) {
dq.pb(i);
} else {
dq.push_front(i);
}
}
ret = vector<int>(dq.begin(), dq.end());
} else {
deque<int> ch1, ch2;
ch1.pb(0);
bool back_joined = 1;
for (int i = 1; i < N; i++) {
if (ch2.empty()) {
ch2.pb(i);
continue;
}
bool conn_to_1 = my_are_connected({ch1.back()}, {i});
if (conn_to_1) {
ch1.pb(i);
back_joined = 1;
} else {
bool conn_to_2 = (!back_joined || my_are_connected({ch2.back()}, {i}));
if (conn_to_2) {
ch2.pb(i);
back_joined = 0;
} else {
while (!ch2.empty()) {
ch1.pb(ch2.back());
ch2.pop_back();
}
ch2.pb(i);
back_joined = 1;
}
}
}
vector<int> vec1(ch1.begin(), ch1.end()), vec2(ch2.begin(), ch2.end());
if (vec2.empty()) {
ret = vec1;
} else {
if (my_are_connected({vec1.back()}, {vec2.back()})) {
for (int i = 0; i < (int)vec1.size(); i++) {
ret.pb(vec1[i]);
}
for (int i = (int)vec2.size() - 1; i >= 0; i--) {
ret.pb(vec2[i]);
}
} else if (my_are_connected({vec1[0]}, {vec2.back()})) {
for (int i = (int)vec1.size() - 1; i >= 0; i--) {
ret.pb(vec1[i]);
}
for (int i = (int)vec2.size() - 1; i >= 0; i--) {
ret.pb(vec2[i]);
}
} else if (my_are_connected({vec1.back()}, {vec2[0]})) {
for (int i = 0; i < (int)vec1.size(); i++) {
ret.pb(vec1[i]);
}
for (int i = 0; i < (int)vec2.size(); i++) {
ret.pb(vec2[i]);
}
} else {
int lo = 0, hi = (int)vec1.size() - 1, idx1 = -1;
while (lo <= hi) {
int mid = (lo + hi) / 2;
if (my_are_connected(vector<int>(vec1.begin(), vec1.begin() + mid + 1), vec2)) {
idx1 = mid;
hi = mid - 1;
} else {
lo = mid + 1;
}
}
if (idx1 == -1) {
if (vec1.size() > vec2.size()) {
ret = vec1;
} else {
ret = vec2;
}
} else {
assert(idx1 != -1);
lo = 0, hi = (int)vec2.size() - 1;
int idx2 = -1;
while (lo <= hi) {
int mid = (lo + hi) / 2;
if (my_are_connected(vector<int>(vec2.begin(), vec2.begin() + mid + 1), {vec1[idx1]})) {
idx2 = mid;
hi = mid - 1;
} else {
lo = mid + 1;
}
}
assert(idx2 != -1);
// vec1[idx1] and vec2[idx2] are connected
for (int i = (idx1 + 1) % (int)vec1.size(); i != idx1; i = (i + 1) % (int)vec1.size()) {
ret.pb(vec1[i]);
}
ret.pb(vec1[idx1]);
for (int i = idx2; (int)ret.size() != N; i = (i + 1) % (int)vec2.size()) {
ret.pb(vec2[i]);
}
}
}
}
}
for (auto &i : ret) {
i = perm[i];
}
return ret;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
344 KB |
Output is correct |
| 4 |
Correct |
0 ms |
344 KB |
Output is correct |
| 5 |
Correct |
0 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
344 KB |
Output is correct |
| 2 |
Correct |
5 ms |
344 KB |
Output is correct |
| 3 |
Correct |
7 ms |
344 KB |
Output is correct |
| 4 |
Correct |
6 ms |
344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
344 KB |
Output is correct |
| 6 |
Correct |
4 ms |
344 KB |
Output is correct |
| 7 |
Correct |
5 ms |
344 KB |
Output is correct |
| 8 |
Correct |
5 ms |
344 KB |
Output is correct |
| 9 |
Correct |
7 ms |
432 KB |
Output is correct |
| 10 |
Correct |
5 ms |
344 KB |
Output is correct |
| 11 |
Correct |
5 ms |
344 KB |
Output is correct |
| 12 |
Correct |
5 ms |
344 KB |
Output is correct |
| 13 |
Correct |
5 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
7 ms |
344 KB |
Output is correct |
| 2 |
Correct |
5 ms |
344 KB |
Output is correct |
| 3 |
Correct |
4 ms |
344 KB |
Output is correct |
| 4 |
Correct |
5 ms |
344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
344 KB |
Output is correct |
| 6 |
Correct |
8 ms |
344 KB |
Output is correct |
| 7 |
Correct |
6 ms |
344 KB |
Output is correct |
| 8 |
Correct |
5 ms |
344 KB |
Output is correct |
| 9 |
Correct |
4 ms |
344 KB |
Output is correct |
| 10 |
Correct |
5 ms |
344 KB |
Output is correct |
| 11 |
Correct |
7 ms |
344 KB |
Output is correct |
| 12 |
Correct |
8 ms |
344 KB |
Output is correct |
| 13 |
Correct |
4 ms |
340 KB |
Output is correct |
| 14 |
Correct |
11 ms |
344 KB |
Output is correct |
| 15 |
Correct |
9 ms |
344 KB |
Output is correct |
| 16 |
Correct |
7 ms |
344 KB |
Output is correct |
| 17 |
Correct |
9 ms |
344 KB |
Output is correct |
| 18 |
Correct |
9 ms |
344 KB |
Output is correct |
| 19 |
Correct |
6 ms |
344 KB |
Output is correct |
| 20 |
Correct |
4 ms |
344 KB |
Output is correct |
| 21 |
Correct |
6 ms |
344 KB |
Output is correct |
| 22 |
Correct |
6 ms |
344 KB |
Output is correct |
| 23 |
Correct |
7 ms |
344 KB |
Output is correct |
| 24 |
Correct |
6 ms |
344 KB |
Output is correct |
| 25 |
Correct |
12 ms |
344 KB |
Output is correct |
| 26 |
Correct |
14 ms |
344 KB |
Output is correct |
| 27 |
Correct |
7 ms |
344 KB |
Output is correct |
| 28 |
Correct |
12 ms |
344 KB |
Output is correct |
| 29 |
Correct |
11 ms |
344 KB |
Output is correct |
| 30 |
Correct |
8 ms |
344 KB |
Output is correct |
| 31 |
Correct |
8 ms |
344 KB |
Output is correct |
| 32 |
Correct |
7 ms |
344 KB |
Output is correct |
| 33 |
Correct |
6 ms |
344 KB |
Output is correct |
| 34 |
Correct |
5 ms |
344 KB |
Output is correct |
| 35 |
Correct |
6 ms |
344 KB |
Output is correct |
| 36 |
Correct |
6 ms |
344 KB |
Output is correct |
| 37 |
Correct |
5 ms |
344 KB |
Output is correct |
| 38 |
Correct |
6 ms |
344 KB |
Output is correct |
| 39 |
Correct |
10 ms |
344 KB |
Output is correct |
| 40 |
Correct |
7 ms |
344 KB |
Output is correct |
| 41 |
Correct |
7 ms |
344 KB |
Output is correct |
| 42 |
Correct |
6 ms |
344 KB |
Output is correct |
| 43 |
Correct |
8 ms |
344 KB |
Output is correct |
| 44 |
Correct |
6 ms |
448 KB |
Output is correct |
| 45 |
Correct |
10 ms |
344 KB |
Output is correct |
| 46 |
Correct |
10 ms |
344 KB |
Output is correct |
| 47 |
Correct |
7 ms |
344 KB |
Output is correct |
| 48 |
Correct |
7 ms |
344 KB |
Output is correct |
| 49 |
Correct |
8 ms |
344 KB |
Output is correct |
| 50 |
Correct |
6 ms |
344 KB |
Output is correct |
| 51 |
Correct |
7 ms |
344 KB |
Output is correct |
| 52 |
Correct |
5 ms |
344 KB |
Output is correct |
| 53 |
Correct |
4 ms |
344 KB |
Output is correct |
| 54 |
Correct |
6 ms |
344 KB |
Output is correct |
| 55 |
Correct |
9 ms |
344 KB |
Output is correct |
| 56 |
Correct |
6 ms |
460 KB |
Output is correct |
| 57 |
Correct |
7 ms |
344 KB |
Output is correct |
| 58 |
Correct |
6 ms |
344 KB |
Output is correct |
| 59 |
Correct |
6 ms |
600 KB |
Output is correct |
| 60 |
Correct |
7 ms |
344 KB |
Output is correct |
| 61 |
Correct |
7 ms |
344 KB |
Output is correct |
| 62 |
Correct |
10 ms |
600 KB |
Output is correct |
| 63 |
Correct |
7 ms |
344 KB |
Output is correct |
| 64 |
Correct |
5 ms |
596 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
344 KB |
Output is correct |
| 2 |
Correct |
5 ms |
344 KB |
Output is correct |
| 3 |
Correct |
4 ms |
344 KB |
Output is correct |
| 4 |
Correct |
6 ms |
344 KB |
Output is correct |
| 5 |
Correct |
5 ms |
344 KB |
Output is correct |
| 6 |
Correct |
7 ms |
344 KB |
Output is correct |
| 7 |
Correct |
6 ms |
344 KB |
Output is correct |
| 8 |
Correct |
5 ms |
344 KB |
Output is correct |
| 9 |
Correct |
7 ms |
436 KB |
Output is correct |
| 10 |
Correct |
7 ms |
344 KB |
Output is correct |
| 11 |
Correct |
6 ms |
344 KB |
Output is correct |
| 12 |
Correct |
6 ms |
344 KB |
Output is correct |
| 13 |
Correct |
5 ms |
444 KB |
Output is correct |
| 14 |
Correct |
12 ms |
344 KB |
Output is correct |
| 15 |
Correct |
11 ms |
344 KB |
Output is correct |
| 16 |
Correct |
10 ms |
344 KB |
Output is correct |
| 17 |
Correct |
6 ms |
344 KB |
Output is correct |
| 18 |
Correct |
4 ms |
344 KB |
Output is correct |
| 19 |
Correct |
6 ms |
344 KB |
Output is correct |
| 20 |
Correct |
6 ms |
432 KB |
Output is correct |
| 21 |
Correct |
12 ms |
344 KB |
Output is correct |
| 22 |
Correct |
12 ms |
344 KB |
Output is correct |
| 23 |
Correct |
10 ms |
344 KB |
Output is correct |
| 24 |
Correct |
7 ms |
344 KB |
Output is correct |
| 25 |
Correct |
8 ms |
344 KB |
Output is correct |
| 26 |
Correct |
6 ms |
344 KB |
Output is correct |
| 27 |
Correct |
10 ms |
344 KB |
Output is correct |
| 28 |
Correct |
7 ms |
344 KB |
Output is correct |
| 29 |
Correct |
6 ms |
344 KB |
Output is correct |
| 30 |
Correct |
6 ms |
344 KB |
Output is correct |
| 31 |
Correct |
7 ms |
344 KB |
Output is correct |
| 32 |
Correct |
7 ms |
344 KB |
Output is correct |
| 33 |
Correct |
8 ms |
344 KB |
Output is correct |
| 34 |
Correct |
8 ms |
344 KB |
Output is correct |
| 35 |
Correct |
10 ms |
344 KB |
Output is correct |
| 36 |
Correct |
7 ms |
344 KB |
Output is correct |
| 37 |
Correct |
6 ms |
344 KB |
Output is correct |
| 38 |
Correct |
8 ms |
344 KB |
Output is correct |
| 39 |
Correct |
7 ms |
344 KB |
Output is correct |
| 40 |
Correct |
4 ms |
344 KB |
Output is correct |
| 41 |
Correct |
6 ms |
344 KB |
Output is correct |
| 42 |
Correct |
6 ms |
344 KB |
Output is correct |
| 43 |
Correct |
6 ms |
440 KB |
Output is correct |
| 44 |
Correct |
7 ms |
344 KB |
Output is correct |
| 45 |
Correct |
6 ms |
344 KB |
Output is correct |
| 46 |
Correct |
5 ms |
440 KB |
Output is correct |
| 47 |
Correct |
6 ms |
344 KB |
Output is correct |
| 48 |
Correct |
7 ms |
344 KB |
Output is correct |
| 49 |
Correct |
5 ms |
344 KB |
Output is correct |
| 50 |
Correct |
7 ms |
344 KB |
Output is correct |
| 51 |
Correct |
7 ms |
344 KB |
Output is correct |
| 52 |
Correct |
7 ms |
448 KB |
Output is correct |
| 53 |
Correct |
6 ms |
344 KB |
Output is correct |
| 54 |
Correct |
7 ms |
344 KB |
Output is correct |
| 55 |
Correct |
9 ms |
344 KB |
Output is correct |
| 56 |
Correct |
6 ms |
344 KB |
Output is correct |
| 57 |
Correct |
6 ms |
444 KB |
Output is correct |
| 58 |
Correct |
7 ms |
344 KB |
Output is correct |
| 59 |
Correct |
9 ms |
344 KB |
Output is correct |
| 60 |
Correct |
10 ms |
344 KB |
Output is correct |
| 61 |
Correct |
7 ms |
344 KB |
Output is correct |
| 62 |
Correct |
7 ms |
452 KB |
Output is correct |
| 63 |
Correct |
6 ms |
344 KB |
Output is correct |
| 64 |
Correct |
6 ms |
444 KB |
Output is correct |
| 65 |
Correct |
6 ms |
344 KB |
Output is correct |
| 66 |
Correct |
6 ms |
344 KB |
Output is correct |
| 67 |
Correct |
6 ms |
344 KB |
Output is correct |
| 68 |
Correct |
7 ms |
344 KB |
Output is correct |
| 69 |
Correct |
7 ms |
344 KB |
Output is correct |
| 70 |
Correct |
7 ms |
344 KB |
Output is correct |
| 71 |
Correct |
6 ms |
344 KB |
Output is correct |
| 72 |
Correct |
7 ms |
440 KB |
Output is correct |
| 73 |
Correct |
7 ms |
340 KB |
Output is correct |
| 74 |
Correct |
7 ms |
344 KB |
Output is correct |
| 75 |
Correct |
7 ms |
344 KB |
Output is correct |
| 76 |
Correct |
8 ms |
344 KB |
Output is correct |
| 77 |
Correct |
5 ms |
344 KB |
Output is correct |
| 78 |
Correct |
6 ms |
344 KB |
Output is correct |
| 79 |
Correct |
8 ms |
452 KB |
Output is correct |
| 80 |
Correct |
7 ms |
344 KB |
Output is correct |
| 81 |
Correct |
10 ms |
448 KB |
Output is correct |
| 82 |
Correct |
6 ms |
344 KB |
Output is correct |
